Question 469361
Solve for x:
{{{e^(x+8) = 6}}} Take the natural logarithm of both sides.
{{{ln(e^((x+8))) = ln(6)}}} Apply the "power rule" for logarithms to the left side.
{{{(x+8)ln(e) = ln(6)}}} On the left side, substitute {{{ln(e) = 1}}}
{{{(x+8) = ln(6)}}} Subtract 8 from both sides.
{{{x = ln(6)-8}}} Evaluate.
{{{highlight(x = -6.20824)}}} Approximately.